A Global Approach with Cutoff Exponential Function, Mathematically Well Defined at the Outset, for Calculating the Casimir Energy: The Example of Scalar Field

MSR Miltao, FA Farias - Advances in High Energy Physics, 2010 - Wiley Online Library
A global approach with cutoff exponential functions is used to obtain the Casimir energy of a
massless scalar field in the presence of a spherical shell. The proposed method …

Generalized Bernoulli Polynomials and the Casimir Effect in the Einstein Universe

P Moylan - Lie Theory and Its Applications in Physics: IX …, 2013 - Springer
We consider various regularization schemes for calculating the renormalized vacuum
energy of a massless scalar field in the n-dimensional Einstein universe. We also study a …

Casimir Energies for Spheres in n-dimensional Minkowski Space and Generalized Bernoulli Polynomials

P Moylan - Journal of Physics: Conference Series, 2013 - iopscience.iop.org
We consider a mathematical version of conformal quantum field theory in n-dimensions
which give a unified approach to quantum field theory on Minkowski space and the Einstein …

[PDF][PDF] Research Article A Global Approach with Cutoff Exponential Function, Mathematically Well Defined at the Outset, for Calculating the Casimir Energy: The …

MSR Miltao, FA Farias - 2010 - academia.edu
A global approach with cutoff exponential functions is used to obtain the Casimir energy of a
massless scalar field in the presence of a spherical shell. The proposed method …

Casimir energy for the scalar field: a global approach with cut-off exponential function

MSR Miltao, FA Farias - arxiv preprint arxiv:0910.0782, 2009 - arxiv.org
A global approach with cut-off exponential functions previously proposed is used to obtain
the Casimir energy of a massless scalar field in the presence of a spherical shell. The …